Welcome to the homepage for McGill MATH 133 Linear Algebra and Geometry (Winter 2018) taught by Prof. Haining Wang, at Jacob’s Help Desk!
 Register for MATH 133 Midterm Mastery Prep.
 Register for MATH 133 Weekly Mastery Lectures Linear Algebra and Geometry, Winter 2018.
 About the Weekly Mastery Lectures for Math 133.
 Cost & payment info for Math133.com Mastery Lectures.
 Upcoming Sessions for Math 133.
 Comments from previous students.
 Everything you need to know about Math 133: The Long View.
 MATH 133 Mastery Lectures Facebook Group
Register for MATH 133 Sessions
About MATH 133 Midterm Mastery Prep
Monday, 12 March, 7:00 PM (~2,5h), M337A (McLennan 3rd)
This 2,5h smallgroup session will focus on examlevel problems from the most challenging content seen so far. We’ll look at strategies for saving time and structures for minimizing computational errors; and break down the most complicated topics to make them really accessible.
The session includes ~ 18 pages of detailed, typeset notes, including >60 challenging practice problems. The notes include carefullystructured, colourcoded explanations so you can focus on understanding the material (instead of just frantically copying from the board), and you’ll have lots of time to actually attempt solving problems, to ensure that you’re able to apply your understanding to examlevel questions, and get immediate feedback.
Content of the session is subject to change, according to the topics specified by Prof. Wang, so that you’ll get the most out of the session. Space is limited and registration is firstcome, first served; unfortunately, due to time constraints, no additional midterm review sessions will be scheduled this semester, so be sure to register right away, if you’d like to join us!
Cost &nd Payment Info: Spots are confirmed upon receipt of the deposit within 4h of registration (see details in confirmation email). Discounts are automatically applied upon registration. A confirmation email with the total, and information on payment options will be sent to the email address provided during registration.
 Midterm Exam Mastery Prep Session: $65. Includes lecture, notes and practice problems.
About the Weekly Sessions for McGill MATH 133
Linear Algebra and Geometry (McGill, Winter 2018)
The weekly sessions for Math 133 are 2h, smallgroup, sessions that will help you master the concepts and theory presented in the course lectures. They include detailed, typeset notes that explain the terminology and notation. The notes are carefully designed as interactive documents that provide you with a chance to engage the material during the session so you can test your understanding, and also include representative, fullysolved problems and additional practice problems.
During the session we will look at detailed, developed solutions, meant to illustrate different aspects of the material in a systematic, structured and easytofollow approach. Solutions are colourcoded to make it easy for you to see through the barrage of symbols and focus on the key concepts. It’ll also help you learn to structure your answers efficiently and effectively, so that the logic of the solution is clear to you (and the marker!).
The sessions are also designed with a view of the entire course in mind, so you know where to invest your time both in terms of success in this class, as well as in terms of the topics that will have the greatest application in future classes.
The Math133.com Weekly Mastery Lectures will help you with:
 Time Management: even if you’re keeping up with the class on your own, the Math133.com Weekly Mastery Lectures will help you make better use of your study time. The notorious difficulty of McGill math classes is not inherent to the content itself; rather, it is the sheer volume of material that makes the classes so challenging. Better to spend 2h in a weekly session that will help you really understand the concepts and complete assignments yourself, rather than spending 810+h banging your head against the textbook and trying to decipher online resources only to get answers that don’t really make much sense to you, and have it haunt you come exam time, when you’ve got 4 other classes to study for.
 Maintaining Commitment: despite the best of intentions to keep up with material and not use Uncle Wolfram for Webworks, McGill & Montreal have their way of always offering up absolutely, totally, 100% legitimate reasons that derail the best laid plans. So you make a financial commitment to a weekly session that helps you reach your goal. It’s like the gymmembership model: you can workout on your own, but it’s a lot easier to reach your goals when you surround yourself with others who are working towards the same end. Knowing that you need help to reach a goal (& acting on it!) is knowing how to find the success you want.
 Math Therapy: I believe that anyone who wants to learn math, can. If you feel you’re terrible or hopeless at math, or just don’t enjoy it, there’s probably a list of bad math teachers somewhere in your past that would go a long way to explaining the difficulties you have, & no one wants to spend their time feeling like they just can’t get it. However, if you’re motivated and willing to do the work and practice, then you can definitely succeed. I’ve seen it hundreds of times: students go from failing in a fantastically impressive way to acing the class. The weekly tutorials will go a long way to rehabilitating your relationship with math. Whatever your level, I want to help you reach your goals in this course – there’s so much more to gain than just a good grade in rising to the challenge.
 Top of the Class: many students who attend the weekly Mastery Lectures don’t want to just pass the class, they want to understand the material at an intuitive level, &nd they want to ace the class. The weekly lectures provide a wealth of information that help you develop general, transferable skills in mathematical literacy and reasoning, and I work hard to help students do their very best (and many have both aced their classes and finished very top of the class).
Cost & Payment Structure for Weekly Mastery Lectures for Math 133
If you have never attended one of my sessions previously, your first session is only $20. Simply regiter using the contact form above, or get in touch with me at Jacob@Math133.com – you’ll be glad you did!

Full Weekly Membership: prepay for the entire set of 7 sessions and get the best price for the Math 133 sessions: $280 for everything you need to master the material and succeed in your class.
Included in the weekly membership: not only the weekly lectures, but detailed notes at every session (612 pages, 9pt, colourcoded), and priority registration (as well as discounted rates!) for WebWork Workshops, Midterm Review and Final Mastery Sessions.
This option is only available during the first 3 weeks of sessions and for the total set of 7 sessions. So if you join during the 2nd or 3rd session, the price is still $280; however, you’d receive all the previous notes and still qualify for all the benefits.
My goal in offering this lowest price is to encourage you to join the sessions early, so that you can establish a strong foundation right from the start so you’ll be less stressed for the final and do better in the class, overall: take advantage & register right away!
 Prepay (min.) 4 Sessions: $220, includes notes and all other benefits of weekly membership. There is always the option of getting the notes from previous tutorials, sutdents can contact me at Jacob@Math133.com for exact prices. The same benefits as the 7week membership also apply. For complete details, get in touch using the contact form or contact Jacob@Math133.com.
 Individual Sessions: $65/session, including all relevant notes; subject to space; cancellations must be made min. 48h prior to the session. For additional information, get in touch using the contact form, above.
N.B. All payments are nonrefundable; for additional details, please contact Jacob@Math133.com.
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MATH 133: The Long View
This is a great class to teach because a good teacher with the right approach can make a huge difference. The class consists of learning certain problemsolving skills in what appear to be ~5 different but loosely related areas: matrix algebra; vector geometry; linear operators; sets and spanning and linear dependence. Many students don’t have too much difficulty with these isolated topics; however, in the last month they are all brought together and students are expected to relate each section to all of the others, effortlessly – a skill which requires a much more thorough understanding than the basic problemsolving skills required to handle each section, individually.
As a result, students can be blindsided by the subtlety of this class at the end of the semester, when there is not a lot of time to revisit early topics and stresslevels are high. In light of this common experience, I like to introduce concepts and vocabulary from all the sections right from the start of the course. This way, by the time the toughest topics arrive, students are already familiar with them and generally don’t struggle at all.
Linear algebra is usually students’ first taste of a more conceptualclass. It may seem very removed from the real world and without practical application, but in reality, it’s just the opposite: the foundation laid in this class will provide insight in many other classes, including Math 222, Math 262, Math 263, Math 315 etc. It is the language of quantum mechanics and computer science and finds practical application in nearly every domain. A class well worth mastering.
For students who are already managing to find answers or even doing well in the class, I’ll help them develop their mathematical reasoning and help them focus on the most important concepts; concepts which will return over and over (and over!) again in future classes (Math 222, Math 262, Math 263, Math 264, Math 314, Math 315 etc). Without someone to help you identify this important material, it’s easy to get lost in the large mass of topics. Not to mention that it feels great to get to later classes and have the content seem easier and easier while everyone else is struggling more and more. It all starts with this class!
Upcoming Sessions For MATH 133 Linear Algebra and Geometry Winter 2018:
The first group is always scheduled on the weekend, generally at the same time every week, on campus in McLennan Library. Once there are enough students for a second group, it will be scheduled during the week.
Location  When  Summary  Description 

M337A (McLennan 3rd)  Sat Mar 24 at 15:00 – 16:45  Math 133  Mastery Lecture #6  
M337A (McLennan 3rd)  Sat Mar 31 at 15:00 – 16:45  Math 133  Mastery Lecture #7 
What others are saying about our sessions:
Finding the right teacher is really important, but it’s not easy to know what to expect. Here are some unsolicited comments from recent McGill Math 133 students. You can find more reviews from past students on the tutorials page. Ask around: we work hard to make sure that all of our students do the best they can!
“Illustrations using physical objects to explain the ‘level curve’ and imaginative illustrations really helped clarify the material. I liked the use of many examples. It makes the content much easier to understand.”
“The simple, direct and easygoing approach adopted by the tutor made me more relaxed about math – leading to a clearer way of thinking and solving problems faster.”
“Everything covered was really clear. I didn’t understand partial derivatives before this, so all of the examples for that topic were great. Thanks!”
“I know most people are probably Grieveing for their grades right now but I found the final difficult but manageable.
Just wanted so say thanks for the help this semester with ODES. The emphasis you put on theory was extremely useful for this class especially on the final.
Thanks again Brodry for the time and effort you put into the sessions and I’ll definitely recommend you to anyone looking for a math tutor. Also quiz apparently went better than I originally thought: I got 100%!”
– Laurent G. MATH 263 Fall 2014
“Thanks again for all the work you’re putting into these tutorials. It’s really making a difference as far as learning and really understanding the material goes … Jacob is an excellent instructor. He takes care to ensure we truly understand the material and can derive the equations needed on our own.
His sessions are clear, concise, and engaging, much better than any materials supplied by the professors or math texts.
I highly recommend him to anyone having issues intuitively understanding the materials in class.”
– Zachary K., MATH 263 Fall 2014
“Just wanted to keep you updated as you asked about my grade! I ended up getting an A which I am extremely happy about so thank you again so much for your help, would have never been able to do so well without it!”
– Cassie E., Winter 2014
“Got an A! Thanks for the help I’m so relieved woooooow!”
– J. Arnette, Winter 2014
“Comparing my Calc 1 results (C) and Calc 2 results (B+) all I can say is you saved by butt! and I am very grateful for that. Thank you!!!!”
– Dana M., Winter 2014
“I passed. Literally almost threw my computer in the air I was so relieved. I’m pumped – Thanks so much.”
– A. Singh, Winter 2014
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